Will give Brainliest! What is the simplified form of the seventh root of x to the fifth power times the seventh root of x to the
fifth power?
1) x to the four ninth power
2) x times the seventh root of x cubed
3) x
4) the square root of x
1 answer:
Answer:
2) x times the seventh root of x cubed
Step-by-step explanation:
![\displaystyle\sqrt[7]{x^5}\cdot\sqrt[7]{x^5}=\sqrt[7]{x^{5+5}}\\\\=\sqrt[7]{x^{7+3}}=\sqrt[7]{x^7}\cdot\sqrt[7]{x^3}\\\\=x\sqrt[7]{x^3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B7%5D%7Bx%5E5%7D%5Ccdot%5Csqrt%5B7%5D%7Bx%5E5%7D%3D%5Csqrt%5B7%5D%7Bx%5E%7B5%2B5%7D%7D%5C%5C%5C%5C%3D%5Csqrt%5B7%5D%7Bx%5E%7B7%2B3%7D%7D%3D%5Csqrt%5B7%5D%7Bx%5E7%7D%5Ccdot%5Csqrt%5B7%5D%7Bx%5E3%7D%5C%5C%5C%5C%3Dx%5Csqrt%5B7%5D%7Bx%5E3%7D)
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